@article{TVP_2015_60_1_a8,
author = {A. V. Artemov and E. V. Burnaev},
title = {Optimal estimation of a signal, observed in a fractional {Gaussian} noise},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {163--171},
year = {2015},
volume = {60},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TVP_2015_60_1_a8/}
}
A. V. Artemov; E. V. Burnaev. Optimal estimation of a signal, observed in a fractional Gaussian noise. Teoriâ veroâtnostej i ee primeneniâ, Tome 60 (2015) no. 1, pp. 163-171. http://geodesic.mathdoc.fr/item/TVP_2015_60_1_a8/
[1] Çetin U., Novikov A., Shiryaev A. N., “Bayesian sequential estimation of a drift of fractional Brownian motion”, Sequential Analysis, 32:3 (2013), 288–296 | MR
[2] Genz A., “Numerical computation of multivariate normal probabilities”, J. Comput. Graph. Statist., 1:2 (1992), 141–149
[3] Kleptsyna M. L., Le Breton A., Roubaud M.-C., “Parameter estimation and optimal filtering for fractional type stochastic systems”, Statist. Inference Stochastic Processes, 3:1–2 (2000), 173–182 | DOI | MR | Zbl
[4] Mandelbrot B. B., Van Ness J. W., “Fractional Brownian motions, fraxtional noises and applications”, SIAM Rev., 10:4 (1968), 422–437 | DOI | MR | Zbl
[5] Peskir G., Shiryaev A., Optimal Stopping and Free-Boundary Problems, Lectures in Mathematics. ETH Zürich, Springer, 2006, 502 pp. | MR
[6] Norros I., Valkeila E., Virtamo J., “An elementary approach to a Girsanov formula and other analytical results on fractional Brownian motions”, Bernoulli, 5:4 (1999), 571–587 | DOI | MR | Zbl
[7] Kolmogorov A. N., “Spiral Vinera i nekotorye drugie interesnye krivye v gilbertovom prostranstve”, Dokl. AN SSSR, 26 (1940), 115–118 | MR
[8] Liptser R. Sh., Shiryaev A. N., Statistika sluchainykh protsessov: Nelineinaya filtratsiya i smezhnye voprosy, Nauka, M., 1974, 696 pp.